Hi, I encountered a rather strange results from Mathematica today.
When evaluating the following integration
(1) Integrate[x (BesselJ[0, x])^2, {x,0, infinity}]
my Mathematica gave the answer 0. That's very weird, since if you plot
out the function x (BesselJ[0, x])^2, apparently the integral should
not be zero ...
Moreover, for the following integration
(2) Integrate[ (BesselJ[0, x])^2, {x,0, infinity}]
My Mathematica says it's some finite value. However, once you did
this, and then did (1), and then came back to do (1), the answer
became 0 ...
My Mathematica version is 5.0.1.0 on Mac Powerbook.
Thanks.
JT